Honestly, this is basically how my system works. I have two kegs in two different mini fridges in separate rooms... but I only have one CO2 tank and regulator. When I rack a new beer to a keg I'll purge with CO2, hit it with 30psi, and go back basically every day for four or five days and hit it with 30psi again. When it's carbonated, I'll go back every two or three days and give it 10-12psi or wherever I wanted it to be in the first place.
Yes, it's a non-ideal way to do it. But it does work. Once I move to a place where I can have a single fridge/freezer that can hold more than one keg I'll upgrade with a manifold system. But for now it works.